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Finding the Fourth Proportional to 3,736.96, 5,154.24 and 2,164.48

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Solution

The fourth proportional to 3,736.96, 5,154.24 and 2,164.48 is: 2,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.96 : 5,154.24 = 2,164.48 : x
  2. Step 2: Convert to fraction form
    3,736.96/5,154.24 = 2,164.48/x
  3. Step 3: Cross multiply
    3,736.96x = 5,154.24 × 2,164.48
  4. Step 4: Simplify right side
    3,736.96x = 11,156,249.40
  5. Step 5: Solve for x
    x = 11,156,249.40/3,736.96
  6. Step 6: Final answer
    x = 2,985.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.